WASHINGTON (CNNMoney.com) – In the next six months, President Obama faces one of his biggest and most important decisions about the economy.

Should Federal Reserve Chairman Ben Bernanke keep his job?

Bernanke's term comes to an end on Jan. 31. Obama will either reappoint or replace him. And the president has been coy about his leanings.

Last month, Obama offered a strong defense of Bernanke, saying he has done a "fine job." At the same time, Obama acknowledged that the Fed had missed key aspects of the financial crisis, saying it "didn't do everything that needed to be done."